Finite Group Databasebeta

← Group #286151

Character table — Group #286151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222222244444444444444488888888888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-11
χ1111111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11-1-111-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-111-1-1-1-1111-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-111-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-11-1-111-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-111-1-1-11111-1-11-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111-1-1111-1-111-1-1-11
χ172222222222222-2-2-2222-2-2-2-2-222-200000000000000000000000022-2-20000000000
χ182222222222222-2-2-2222-2-2-2-2-222-2000000000000000000000000-2-2220000000000
χ19222222222222-2222-2-2-22-2-222-2-2-222-2-22200000000-2-20000000000000000000000
χ20222222222222-2222-2-2-22-2-222-2-2-2-2-222-2-200000000220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-2200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-220000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2322222222-2-2-2-22-2-2-2222-2-2-222-2-220000000000000000000000002-22-20000000000
χ2422222222-2-2-2-22-2-2-2222-2-2-222-2-22000000000000000000000000-22-220000000000
χ2522222222-2-2-2-2-2222-2-2-22-2-2-2-222222-2-2-2-200000000220000000000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-2-2-2-2222-2-2222200000000-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292-222-22-2-222-2-202-2-20002002-2000002-200i2i2−i2−i2i2i2−i2−i22-20000000000000000i2−i2i2−i200
χ302-222-22-2-222-2-202-2-20002002-2000002-200−i2−i2i2i2−i2−i2i2i22-20000000000000000−i2i2−i2i200
χ312-222-22-2-222-2-202-2-20002002-200000-2200i2i2−i2−i2i2i2−i2−i2-220000000000000000−i2i2−i2i200
χ322-222-22-2-222-2-202-2-20002002-200000-2200−i2−i2i2i2−i2−i2i2i2-220000000000000000i2−i2i2−i200
χ332-222-22-2-2-2-22202-2-2000200-22000002-200i2i2−i2−i2−i2−i2i2i2-220000000000000000i2−i2−i2i200
χ342-222-22-2-2-2-22202-2-2000200-22000002-200−i2−i2i2i2i2i2−i2−i2-220000000000000000−i2i2i2−i200
χ352-222-22-2-2-2-22202-2-2000200-2200000-2200i2i2−i2−i2−i2−i2i2i22-20000000000000000−i2i2i2−i200
χ362-222-22-2-2-2-22202-2-2000200-2200000-2200−i2−i2i2i2i2i2−i2−i22-20000000000000000i2−i2−i2i200
χ372-2-2-2222-200002-22-22-2-222-20000000000000002i−2i2i−2i0000002-22-200002i−2i00000000
χ382-2-2-2222-200002-22-22-2-222-20000000000000002i−2i2i−2i000000-22-220000−2i2i00000000
χ392-2-2-2222-200002-22-22-2-222-2000000000000000−2i2i−2i2i0000002-22-20000−2i2i00000000
χ402-2-2-2222-200002-22-22-2-222-2000000000000000−2i2i−2i2i000000-22-2200002i−2i00000000
χ412-2-2-2222-20000-22-22-222-22-2000000000002-22-200000000002i−2i−2i2i0000002i−2i000000
χ422-2-2-2222-20000-22-22-222-22-2000000000002-22-20000000000−2i2i2i−2i000000−2i2i000000
χ432-2-2-2222-20000-22-22-222-22-200000000000-22-2200000000002i−2i−2i2i000000−2i2i000000
χ442-2-2-2222-20000-22-22-222-22-200000000000-22-220000000000−2i2i2i−2i0000002i−2i000000
χ45444-44-4-4-44-44-400000000000000022−220022−2200000000000000000000000000000000
χ46444-44-4-4-44-44-4000000000000000−222200−222200000000000000000000000000000000
χ47444-44-4-4-4-44-4400000000000000022−2200−222200000000000000000000000000000000
χ48444-44-4-4-4-44-44000000000000000−22220022−2200000000000000000000000000000000
χ4944-44-4-44-400004000-44-400000000000000000000000022−2222−22000000000000000000
χ5044-44-4-44-400004000-44-4000000000000000000000000−2222−2222000000000000000000
χ5144-44-4-44-40000-40004-440000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-44-4-44-40000-40004-44000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5344-4-4-44-440000044-4000-400000000000002i2−2i2−2i22i20000000000000000000000000000
χ5444-4-4-44-440000044-4000-40000000000000−2i22i22i2−2i20000000000000000000000000000
χ5544-4-4-44-4400000-4-4400040000000000000000022−22−2222000000000000000000000000
χ5644-4-4-44-4400000-4-44000400000000000000000−222222−22000000000000000000000000
χ574-444-44-4-444-4-40-444000-400-4400000000000000000000000000000000000000000
χ584-444-44-4-4-4-4440-444000-4004-400000000000000000000000000000000000000000
χ594-44-4-4-4444-4-444000-4-44000004-4000000000000000000000000000000000000000
χ604-44-4-4-4444-4-44-400044-400000-44000000000000000000000000000000000000000
χ614-44-4-4-444-444-44000-4-4400000-44000000000000000000000000000000000000000
χ624-44-4-4-444-444-4-400044-4000004-4000000000000000000000000000000000000000
χ634-4-4-4444-4000044-444-4-4-4-440000000000000000000000000000000000000000000
χ644-4-4-4444-40000-4-44-4-4444-440000000000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).